Literacy and numeracy are vital aspects of education, for they are the foundations of future learning and life skills inclusive of reading, writing and mathematics, essential life skills. However, there are areas within both literacy and numeracy that many students find challenging and hence are subject to misconceptions. In literacy for example, students struggle with comprehension. This can be due to many factors such as background knowledge, teachers, and learning disabilities affecting their ability, although there is a preconceived notion that simply because of their disability they do not have the knowledge or skills required. In numeracy these skills are put to then test as students at younger levels begin learning about fractions, …show more content…
Though disengagement is a common reason why, another reason is that the students have a lack of ‘number sense.’ This can be defined as “a person’s general understanding of number and operations along with the ability and inclination to use this understanding in flexible ways to make mathematical judgements and to develop useful and efficient strategies for managing numerical situations” (McIntosh, 1997). Students who lack a sufficient number sense would struggle with, for example, a fraction problem which is a common challenging question like whether 3/7 is larger or smaller than 1/2. Having a solid concept of number size is vital and whilst they don’t necessarily have to know 3/7 has a decimal counterpart, they should it’s smaller than 3/6, which is equal to a 1/2, as the denominator is larger. Students generally struggle with fractions and percentages and other similar concepts as they have not yet developed a key underpinning of number sense, being “an understanding of numbers and an ability to think of them in more than one way (rename numbers)” (Booker, G., Bond, D., Briggs, J. & Davey, G.,1997), which teachers must be sure to reiterate in their lessons. Furthermore, once students gain a solid understanding of number sense, misconceptions they have such as about place value will end. The Victorian Department of Education has admitted that “place-value is often introduced before students have demonstrated an understanding that the numbers 2 to 10 can be used as countable units” which has resulted in students to “develop misconceptions in this area” (2017). Some of these misconceptions include not comprehending that, for example, that 58 is not just 50 and 8 but that the 5 represents the tens and 8 with the ones. It must be indicated that the challenges and misconceptions that have been discussed are at a second grade level and could stem from first grade struggles, but it is
The following assignment shows the progress I have made throughout unit EDC141: The Numerate Educator. Included are results from the first and second round of the Mathematics Competency Test (MCT). Examples from assessment two, which, involved me to complete sample questions from the year nine NAPLAN. I was also required to complete a variety of ‘thinking time problems’ (TTP’s) and ‘what I know about’ (WIKA’s). These activities allowed me to build on my knowledge and assisted me to develop my mathematical skills. The Australian Curriculum has six areas of mathematics, which I used in many different learning activities throughout this study period (Commonwealth of Australia, 2009). These six areas will be covered and include number, algebra,
, the value of teaching subitizing skills in the classroom is clear. This ability provides a visual tool to young students as they develop a basic understanding of numbers and one to one correspondence, and it establishes a firm foundation for the future skills of addition and subtraction facts. Possessing the knowledge of how and when students develop the cognitive understanding of this concept can drive a teachers instruction so that the students find greater success in the lesson. Knowing that comprehension of number conservation does not occur until age 5 or 6 will definitely have an effect upon early teaching of number sense.
Place value and the base ten number system are two extremely important areas in mathematics. Without an in-depth understanding of these areas students may struggle in later mathematics. Using an effective diagnostic assessment, such as the place value assessment interview, teachers are able to highlight students understanding and misconceptions. By highlighting these areas teachers can form a plan using the many effective tasks and resources available to build a more robust understanding. A one-on-one session with Joe, a Year 5 student, was conducted with the place value assessment interview. From the outlined areas of understanding and misconception a serious of six tutorial lessons were planned. The lessons were designed using
The teaching and learning approaches I use in numeracy, have certainly developed over this course. I have seen the information that needs to be given to the learner is just a tiny part in teaching, the most significant part of delivery is how you do it. There are three main learning theories.
students do not learn the same way as their peers. We have to modify and try to explain things to
Mathematics has become a very large part of society today. From the moment children learn the basic principles of math to the day those children become working members of society, everyone has used mathematics at one point in their life. The crucial time for learning mathematics is during the childhood years when the concepts and principles of mathematics can be processed more easily. However, this time in life is also when the point in a person’s life where information has to be broken down to the very basics, as children don’t have an advanced capacity to understand as adults do. Mathematics, an essential subject, must be taught in such a way that children can understand and remember.
Literacy is defined as “the ability to use available symbol systems that are fundamental to learning and teaching for the purposes of comprehending and composing, for the purposes of making and communicating meaning and knowledge” (Stock, 2012), and it is one of the most essential skills that an early year student will learn. Literacy serves to provide the building blocks for the continued knowledge acquisition and general education of individuals of all ages; by working to understand and identify how and why literacy is taught using the structured literacy block format in Australian schools, and in identifying the benefits of utilizing this type of tool for teaching literacy in student’s early years, it will be possible to gain a better understanding of the organization, planning, and teaching approaches that are used in a literacy block approach. A sample standard literacy block will be provided, offering the means of understanding the applications of the tool, which will serve to further stress the necessity of this tool’s usage.
In the 1980’s a report called “A Nation At Risk” stated that American children had fallen behind in such subjects as math and science. Thus came the advent of education’s increased focus on literacy and numeracy, accountability and academic standards. These high standards, according to Dumas (2000), are the most significant trend in schools today.
Mathematical dialogue within the classroom has been argued to be effective and a ‘necessary’ tool for children’s development in terms of errors and misconceptions. It has been mentioned how dialogue can broaden the children’s perception of the topic, provides useful opportunities to develop meaningful understandings and proves a good assessment tool. The NNS (1999) states that better numeracy standards occur when children are expected to use correct mathematical vocabulary and explain mathematical ideas. In addition to this, teachers are expected
In our schools today, literacy should not just be a task for the English or Reading teacher. Instead, literacy should be a shared venture by all teachers within all content areas. Teaching literacy in all content areas is important because a teacher with a solid understanding of teaching literacy in his/her content area will tremendously help all students achieve greater success on class assignments and standardized assessments. There are three main points that surround the idea of teaching literacy in all content areas. Teachers need the necessary skills and knowledge to teach literacy, once the necessary skills and knowledge are gained then there is justification for teaching literacy across content areas, and
Ward (2005) explores writing and reading as the major literary mediums for learning mathematics, in order for students to be well equipped for things they may see in the real world. The most recent trends in education have teachers and curriculum writers stressed about finding new ways to tie in current events and real-world situations to the subjects being taught in the classroom. Wohlhuter & Quintero (2003) discuss how simply “listening” to mathematics in the classroom has no effect on success in student academics. It’s important to implement mathematical literacy at a very young age. A case study in the article by authors Wohlhuter & Quintero explores a program where mathematics and literacy were implemented together for children all the way through eight years of age. Preservice teachers entered a one week program where lessons were taught to them as if they were teaching the age group it was directed towards. When asked for a definition of mathematics, preservice teachers gave answers such as: something related to numbers, calculations, and estimations. However, no one emphasized how math is in fact extremely dependable on problem-solving, explanations, and logic. All these things have literacy already incorporated into them. According to Wohlhuter and Quintero (2003), the major takeaways from this program, when tested, were that “sorting blocks, dividing a candy bar equally, drawing pictures, or reading cereal boxes, young children are experienced mathematicians, readers, and writers when they enter kindergarten.” These skills are in fact what they need to succeed in the real-world. These strategies have shown to lead to higher success rates for students even after they graduate
While numeracy and mathematics are often linked together in similar concepts, they are very different from one another. Mathematics is often the abstract use of numbers, letters in a functional way. While numeracy is basically the concept of applying mathematics in the real world and identifying when and where we are using mathematics. However, even though they do have differences there can be a similarity found, in the primary school mathematics curriculum (Siemon et al, 2015, p.172). Which are the skills we use to understand our number systems, and how numeracy includes the disposition think mathematically.
The early acquisition of mathematical concepts in children is essential for their overall cognitive development. It is imperative that educators focus on theoretical views to guide and plan the development of mathematical concepts in the early years. Early math concepts involve learning skills such as matching, ordering, sorting, classifying, sequencing and patterning. The early environment offers the foundation for children to develop an interest in numbers and their concepts. Children develop and construct their own meaning of numbers through active learning rather than teacher directed instruction.
The prominence of numeracy is extremely evident in daily life and as teachers it is important to provide quality assistance to students with regards to the development of a child's numeracy skills. High-level numeracy ability does not exclusively signify an extensive view of complex mathematics, its meaning refers to using constructive mathematical ideas to “...make sense of the world.” (NSW Government, 2011). A high-level of numeracy is evident in our abilities to effectively draw upon mathematical ideas and critically evaluate it's use in real-life situations, such as finances, time management, building construction and food preparation, just to name a few (NSW Government, 2011). Effective teachings of numeracy in the 21st century has become a major topic of debate in recent years. The debate usually streams from parents desires for their child to succeed in school and not fall behind. Regardless of socio-economic background, parents want success for their children to prepare them for life in society and work (Groundwater-Smith, 2009). A student who only presents an extremely basic understanding of numeracy, such as small number counting and limited spatial and time awareness, is at risk of falling behind in the increasingly competitive and technologically focused job market of the 21st Century (Huetinck & Munshin, 2008). In the last decade, the Australian curriculum has witness an influx of new digital tools to assist mathematical teaching and learning. The common calculator, which is becoming increasing cheap and readily available, and its usage within the primary school curriculum is often put at the forefront of this debate (Groves, 1994). The argument against the usage of the calculator suggests that it makes students lazy ...
The final assessment piece for term 1 is a personal reflection that is centered around our previous quiz results. These past few weeks each student was asked to complete a quiz based on numeracy and literacy concepts that are important to our development as a 21st century teacher. These skills are an important concept to all teachers as they are used on a daily basis, sometimes even subconsciously. Numeracy practises are a skill that teachers are required to be competent in. this component i find myself confident of as i have previous experience as a stage manager for theatre productions, working at markets and as a waitress in a local cafe. This confidence is backed up by my scoring on the final quiz, that was based on numeracy practices, achieving a 10/10. These skills will be more than adequate in teaching Biology and Geography in the eventual completion of this course. Continue use of these practises will constantly improve my ability.